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Finding the Third Proportional to 1,863,411 and 3,970,854

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Solution

The third proportional to 1,863,411 and 3,970,854 is: 8,461,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,411 : 3,970,854 = 3,970,854 : x
  2. Step 2: Convert to fraction form
    1,863,411/3,970,854 = 3,970,854/x
  3. Step 3: Cross multiply
    1,863,411x = 3,970,854 × 3,970,854
  4. Step 4: Simplify right side
    1,863,411x = 15,767,681,489,316
  5. Step 5: Solve for x
    x = 15,767,681,489,316/1,863,411
  6. Step 6: Final answer
    x = 8,461,730.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.